Statistics Examples

Find the Perpendicular Line
,
Use the slope-intercept form to find the slope.
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The slope-intercept form is , where is the slope and is the y-intercept.
Using the slope-intercept form, the slope is .
The equation of a perpendicular line to must have a slope that is the negative reciprocal of the original slope.
Simplify to find the slope of the perpendicular line.
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Move the negative in front of the fraction.
Simplify .
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Multiply by to get .
Multiply by to get .
Find the equation of the perpendicular line using the point-slope formula.
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Find the value of using the formula for the equation of a line.
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Use the formula for the equation of a line to find .
Substitute the value of into the equation.
Substitute the value of into the equation.
Substitute the value of into the equation.
Find the value of .
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Rewrite the equation as .
Simplify each term.
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Multiply by to get .
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Simplify the right side of the equation.
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by to get .
Subtract from .
Move the negative in front of the fraction.
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
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